455475750768 has 120 divisors (see below), whose sum is σ = 1284993000720. Its totient is φ = 150600253440.

The previous prime is 455475750767. The next prime is 455475750811. The reversal of 455475750768 is 867057574554.

It is a happy number.

455475750768 is a `hidden beast` number, since 4 + 5 + 54 + 7 + 575 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455475750767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62794630 + ... + 62801882.

It is an arithmetic number, because the mean of its divisors is an integer number (10708275006).

Almost surely, 2^455475750768 is an apocalyptic number.

455475750768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455475750768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642496500360).

455475750768 is an abundant number, since it is smaller than the sum of its proper divisors (829517249952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455475750768 is a wasteful number, since it uses less digits than its factorization.

455475750768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 164640000, while the sum is 63.

The spelling of 455475750768 in words is "four hundred fifty-five billion, four hundred seventy-five million, seven hundred fifty thousand, seven hundred sixty-eight".